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Finding the Fourth Proportional to 218,748.57, 328,155.66 and 78,540

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Solution

The fourth proportional to 218,748.57, 328,155.66 and 78,540 is: 117,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,748.57 : 328,155.66 = 78,540 : x
  2. Step 2: Convert to fraction form
    218,748.57/328,155.66 = 78,540/x
  3. Step 3: Cross multiply
    218,748.57x = 328,155.66 × 78,540
  4. Step 4: Simplify right side
    218,748.57x = 25,773,345,536.40
  5. Step 5: Solve for x
    x = 25,773,345,536.40/218,748.57
  6. Step 6: Final answer
    x = 117,821.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.